ELI5. This math problem

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I saw this on discord and I feel like an idiot but I’m so confused.

*”Question for you guys If I borrow $50 from my mom and $50 from my dad to purchase an object worth $97. Since I would have $3 change I would give one to my mom and one to my dad and keep one my self
So I still owe my mom $49 and my dad $49 that means I owe $98 counting the one I have makes is $99 where did the other $1 go?”*

In: Mathematics

12 Answers

Anonymous 0 Comments

It is poorly written. Okay here we go.

The problem says that Dude borrows a total of $100 to purchase a $97 item. What he then has are two $50 debts. He spends $97, leaving him with $3. He puts $1 towards each debt, leaving him with two $49 debts and a dollar which he is keeping.

What he actually has is a $97 dollar item, a dollar in hand, and two $49 dollar debts. The way the problem is written leads you to assume that all those things should add up to one hundred, like this:

49+49+1=100

That is of course incorrect. What it should look like is kind of a before and after on each side of the equation. His loans on one side and the purchase price and change on the other. Like so:

$50+$50=$97+$3

The change then being distributed to his parents and himself.

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